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ivolga24 [154]
3 years ago
13

To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?

Mathematics
1 answer:
romanna [79]3 years ago
6 0
Let r be a radius of a given circle and α be an angle, that corresponds to a sector.

The circle area is A=\pi r^2 and denote the sector area as A_1. 
Then  \dfrac{A_1}{A}= \dfrac{\alpha}{2\pi}  (the ratio between area is the same as the ratio between coresponding angles).

A_1=\dfrac{\alpha}{2\pi} \cdot A=\dfrac{\alpha}{2\pi} \cdot \pi r^2= \dfrac{r^2\alpha}{2}.

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Nataly_w [17]

Answer:

2/8

Step-by-step explanation:

8 0
2 years ago
Simplify the polynomial by combining like terms. 3.63x2 - 4.54x + 7.96x2 +9.85 -3.12x​
Brums [2.3K]

Answer:

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Step-by-step explanation:

3.63x² - 4.54x + 7.96x² +9.85 -3.12x​

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7 0
3 years ago
Read 2 more answers
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3 years ago
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goldenfox [79]

Answer:

f(x)=-1(x-2)^2+8

Step-by-step explanation:

Given:

The quadratic function is given as:

f(x)=-x^2+2x+4

The standard form of a quadratic function is given as:

f(x)=a(x-h)^2+k, where, 'a', 'h' and 'k' are real numbers.

Now, in order to convert the given function to standard form, we use completing by  square method.

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Now, f(x)=-x^2+2x+4 can be rewritten as:

f(x)=-(x-2)^2+4+4\\f(x)=-1(x-2)^2+8

Therefore, the standard form of the function is:

f(x)=-1(x-2)^2+8

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Answer:

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Step-by-step explanation:

7 0
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